1453849600 has 396 divisors, whose sum is σ = 4485140760. Its totient is φ = 464486400.

The previous prime is 1453849597. The next prime is 1453849601. The reversal of 1453849600 is 69483541.

It is a super-2 number, since 2×1453849600² = 4227357318840320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1453849601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23833570 + ... + 23833630.

Almost surely, 2^1453849600 is an apocalyptic number.

1453849600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1453849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2242570380).

1453849600 is an abundant number, since it is smaller than the sum of its proper divisors (3031291160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1453849600 is a wasteful number, since it uses less digits than its factorization.

1453849600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 1453849600 is about 38129.3797484302. The cubic root of 1453849600 is about 1132.8519601221.

The spelling of 1453849600 in words is "one billion, four hundred fifty-three million, eight hundred forty-nine thousand, six hundred".